A team won 9 of its first 12 games. At that rate, how many games will the team win if it plays 64 games in all?
2 answers:
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Answer:
Amount invested at 8% is $9000 and amount invested at 18% is $21000.
Step-by-step explanation:
Let amount invested at 8% be x.
Let amount invested at 18% be y.
We get the 1st equation as:
........(1)
We get the second equation as:
=>
or getting rid of the decimal by multiplying by 100 on both sides.
........(2)
Multiplying (1) by 8 and subtracting from (2) we get
So, y = 21000
And
So, x = 9000
Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.
To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.
We don't need to keep the zeros.
We can check this by adding the numbers back up to get .
The value of x in the triangle is 28.1 degrees
<h3>How to solve for x?</h3>The given triangle is a right triangle.
So, the relationship between the sides and angle x is:
sin(x) = opposite/hypotenuse
This gives
sin(x) = 8/17
Evaluate the quotient
sin(x) = 0.4706
Take the arc sin of both sides
Evaluate
x = 28.1
Hence, the value of x in the triangle is 28.1 degrees
Read more about right triangles at:
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